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22813484460 = 223513223913063
BaseRepresentation
bin10101001111110010…
…100010010110101100
32011212220121002100220
4111033302202112230
5333210223000320
614251432051340
71435224263334
oct251762422654
964786532326
1022813484460
119747687598
124508233b50
1321c7546740
141165c1a0c4
158d7c6ae40
hex54fca25ac

22813484460 has 96 divisors (see below), whose sum is σ = 68827422720. Its totient is φ = 5612689152.

The previous prime is 22813484453. The next prime is 22813484501. The reversal of 22813484460 is 6448431822.

It is a happy number.

It is a super-2 number, since 2×228134844602 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739889 + ... + 1752951.

It is an arithmetic number, because the mean of its divisors is an integer number (716952320).

Almost surely, 222813484460 is an apocalyptic number.

22813484460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22813484460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34413711360).

22813484460 is an abundant number, since it is smaller than the sum of its proper divisors (46013938260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22813484460 is a wasteful number, since it uses less digits than its factorization.

22813484460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15327 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 22813484460 in words is "twenty-two billion, eight hundred thirteen million, four hundred eighty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2239 4478 6717 8956 11195 13063 13434 22390 26126 26868 29107 33585 39189 44780 52252 58214 65315 67170 78378 87321 116428 130630 134340 145535 156756 169819 174642 195945 261260 291070 339638 349284 391890 436605 509457 582140 679276 783780 849095 873210 1018914 1698190 1746420 2037828 2547285 3396380 5094570 10189140 29248057 58496114 87744171 116992228 146240285 175488342 292480570 350976684 380224741 438720855 584961140 760449482 877441710 1140674223 1520898964 1754883420 1901123705 2281348446 3802247410 4562696892 5703371115 7604494820 11406742230 22813484460